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On derivation of semiprime rings
2012The paper purports to prove several commutativity theorems for prime or semiprime rings satisfying certain constraints involving derivations, one such being that for some derivation \(d\), \(xyx+d(xyx)=x^2y+d(x^2y)\) for all \(x,y\in R\). Unfortunately the proofs are wrong.
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Some results on ideals of semiprime rings with multiplicative generalized derivations
, 2018E. Koç, Ö. Gölbasi
semanticscholar +1 more source
Vague semiprime ideals of a $$\Gamma $$Γ-semiring
, 2018Y. Bhargavi, T. Eswarlal
semanticscholar +1 more source
Semiprime rings with differential identities
1992Let \(R\) be a semi-prime ring with maximal right quotient ring \(U\) and let \(\text{Der}(U)\) be the set of derivations of \(U\). The extended centroid of \(R\) is \(C\), the center of \(U\). A differential polynomial is an element \(f \in U*_ C C\{X^ W\}\), the free product over \(C\) of \(U\) and the free \(C\)-algebra in indeterminates \(x_ i^ w\),
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Strong Commutativity Preserving Skew Derivations in Semiprime Rings
, 2018V. Filippis, N. Rehman, M. Raza
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Addendum to “Semiprime Goldie centralizers”
Israel Journal of Mathematics, 1976openaire +2 more sources